Fr. Z is relaying a message that Anglican Bishop of London Richard Chartres said that Roman Catholics must use the Roman Rite (e.g. the Extraordinary Form of the Roman Rite). It is a very confusing article, so read at your own risk.
Yesterday, my parish priest gave a sermon about the Novus Ordo translations that are to start in Novus Ordo Churches this coming Sunday. Well, he mentioned, like I have mentioned in my recent posts, that Vatican II did not mandate an adoption of a new rite of Mass and the sacraments, the removal of the high altar & the communion rail, the relocation of the tabernacle to a side altar, the Latin language, Gregorian Chant, meatless Fridays, and so forth.
If you read Sacrosanctum Concilium, the Council document issued on St. Barbara's Day, Dec. 4, 1963, regarding the sacred liturgy, there is no language that says that a new missal be written. My priest also noted that this is the only document that the late Archbishop Marcel Lefebrve voted "Yes" on during the whole Second Vatican Council. All the others he voted "No" because they contradict traditional Catholic teachings.
In regards to the Anglo-Catholics using the Anglican Missal, the Anglican Missal is only the Tridentine Missal in Elizabethian English.